Finding the Third Proportional to 105,848 and 145,812

Step by Step Solution

1. Step 1: Write the proportion equation
   105,848 : 145,812 = 145,812 : x
2. Step 2: Convert to fraction form
   105,848/145,812 = 145,812/x
3. Step 3: Cross multiply
   105,848x = 145,812 × 145,812
4. Step 4: Simplify right side
   105,848x = 21,261,139,344
5. Step 5: Solve for x
   x = 21,261,139,344/105,848
6. Step 6: Final answer
   x = 200,864.82